What is the LCM of 14, 21 and 56?
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2
Answer:
1. Find the prime factors of 14
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Tree view of the prime factors of 14: 2 and 7
The prime factors of 14 are 2 and 7.
2. Find the prime factors of 21
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Tree view of the prime factors of 21: 3 and 7
The prime factors of 21 are 3 and 7.
3. Find the prime factors of 56
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Tree view of the prime factors of 56: 2, 2, 2 and 7
The prime factors of 56 are 2, 2, 2 and 7.
4. Build a prime factors table
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Determine the maximum number of times each prime factor (2, 3, 7) occurs in the factorization of the given numbers:
Prime factorNumber 14 21 56 Max. occurrence
2 1 0 3 3
3 0 1 0 1
7 1 1 1 1
The prime factors 3 and 7 occur one time, while 2 occurs more than once.
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Answer:
The LCM of 14, 21 and 56 is 168
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